Finding the Third Proportional to 52,178 and 112,864

Step by Step Solution

1. Step 1: Write the proportion equation
   52,178 : 112,864 = 112,864 : x
2. Step 2: Convert to fraction form
   52,178/112,864 = 112,864/x
3. Step 3: Cross multiply
   52,178x = 112,864 × 112,864
4. Step 4: Simplify right side
   52,178x = 12,738,282,496
5. Step 5: Solve for x
   x = 12,738,282,496/52,178
6. Step 6: Final answer
   x = 244,131.29